{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "x = 0\n",
    "k = 0\n",
    "predict_error_cov = 1000\n",
    "process_noise_cov = 0.01\n",
    "measure_noise_cov = 25\n",
    "\n",
    "def predict():\n",
    "    global predict_error_cov\n",
    "    predict_error_cov += process_noise_cov\n",
    "\n",
    "def update(z):\n",
    "    global x, predict_error_cov\n",
    "    k = predict_error_cov / (predict_error_cov + measure_noise_cov)\n",
    "    x += k * (z - x)\n",
    "    predict_error_cov = (1 - k) * predict_error_cov"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c0abef0c80>]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import random\n",
    "\n",
    "base = 158\n",
    "raw_data = [\n",
    "    base + random.random() * 10 % 5\n",
    "    for _ in range(200)\n",
    "]\n",
    "\n",
    "data = []\n",
    "for d in raw_data:\n",
    "    predict()\n",
    "    update(d)\n",
    "    data.append(x)\n",
    "\n",
    "plt.plot(np.arange(len(raw_data)), raw_data)\n",
    "plt.plot(np.arange(len(data)), data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('./data.csv', 'w+') as f:\n",
    "    f.write('\\n'.join(map(lambda a: f'{a[0]},{a[1]}', zip(raw_data, data))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1c0abfadca0>]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "base = 158.0\n",
    "current = base\n",
    "kp = 0.03\n",
    "ki = 0.01\n",
    "\n",
    "records = []\n",
    "i = []\n",
    "\n",
    "for _ in range(500):\n",
    "    predict()\n",
    "    update(current + random.random() * 10 % 6)\n",
    "    i.append(x)\n",
    "    pi = kp * x + ki * sum(i[-5:-1])\n",
    "    if current < -5 or 5 < current:\n",
    "        current -= 0.25 * pi\n",
    "    else:\n",
    "        current += random.random() * 10 % 2\n",
    "    records.append(current)\n",
    "\n",
    "plt.plot(np.arange(len(records)), records)\n",
    "plt.plot(np.arange(len(records)), np.zeros((500, 1)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open('./data_pi.csv', 'w+') as f:\n",
    "    f.write('\\n'.join(map(lambda a: f'{a}', records)))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ml_learning",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.5"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
